Stability of Periodically Driven Topological Phases against Disorder
In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving frequencies, exhibit the quintessential robustness against local...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/118177 https://orcid.org/0000-0003-4193-6254 |
| _version_ | 1826218113055588352 |
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| author | Shtanko, Oles Movassagh, Ramis |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Shtanko, Oles Movassagh, Ramis |
| author_sort | Shtanko, Oles |
| collection | MIT |
| description | In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder similar to equilibrium topological phases. However, proving the existence of such topological phases in a general setting is an open problem. We propose a universal effective theory that leverages on modern free probability theory and ideas in random matrices to analytically predict the existence of the topological phase for finite driving frequencies and across a range of disorder. We find that, depending on the strength of disorder, such systems may be topological or trivial and that there is a transition between the two. In particular, the theory predicts the critical point for the transition between the two phases and provides the critical exponents. We corroborate our results by comparing them to exact diagonalizations for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang models and find excellent agreement. This Letter may guide the experimental efforts for exploring topological phases. |
| first_indexed | 2024-09-23T17:14:02Z |
| format | Article |
| id | mit-1721.1/118177 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:14:02Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1181772022-10-03T11:18:39Z Stability of Periodically Driven Topological Phases against Disorder Shtanko, Oles Movassagh, Ramis Massachusetts Institute of Technology. Department of Physics Shtanko, Oles In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder similar to equilibrium topological phases. However, proving the existence of such topological phases in a general setting is an open problem. We propose a universal effective theory that leverages on modern free probability theory and ideas in random matrices to analytically predict the existence of the topological phase for finite driving frequencies and across a range of disorder. We find that, depending on the strength of disorder, such systems may be topological or trivial and that there is a transition between the two. In particular, the theory predicts the critical point for the transition between the two phases and provides the critical exponents. We corroborate our results by comparing them to exact diagonalizations for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang models and find excellent agreement. This Letter may guide the experimental efforts for exploring topological phases. 2018-09-26T17:15:33Z 2018-09-26T17:15:33Z 2018-09 2018-05 2018-09-20T18:00:24Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/118177 Shtanko, Oles and Ramis Movassagh. "Stability of Periodically Driven Topological Phases against Disorder." Physical Review Letters 121, 12 (September 2018): 126803 © 2018 American Physical Society https://orcid.org/0000-0003-4193-6254 en http://dx.doi.org/10.1103/PhysRevLett.121.126803 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Shtanko, Oles Movassagh, Ramis Stability of Periodically Driven Topological Phases against Disorder |
| title | Stability of Periodically Driven Topological Phases against Disorder |
| title_full | Stability of Periodically Driven Topological Phases against Disorder |
| title_fullStr | Stability of Periodically Driven Topological Phases against Disorder |
| title_full_unstemmed | Stability of Periodically Driven Topological Phases against Disorder |
| title_short | Stability of Periodically Driven Topological Phases against Disorder |
| title_sort | stability of periodically driven topological phases against disorder |
| url | http://hdl.handle.net/1721.1/118177 https://orcid.org/0000-0003-4193-6254 |
| work_keys_str_mv | AT shtankooles stabilityofperiodicallydriventopologicalphasesagainstdisorder AT movassaghramis stabilityofperiodicallydriventopologicalphasesagainstdisorder |